Section 6.2 Volumes by Shells

MATH 1522: SECTION 3.2 WRITTEN ASSIGNMENT Consider the solid obtained by revolving the region hounded by y = 2 :r.._ y = , and .1: = 1] about the yaxis. 1. Sketch a graph of the region. Numher the axes so that all signicant points are visible. Shade in the region and indicate the axis of revolution on the graph. 2. Use the shell method to express the volume of the solid as an integral. 3. Evaluate the integral in #2 to nd the volume of the solid. Shmv all the steps of your computation